CAT - | PYQs + Solutions

CAT

Modern Math

Medium

$\log_28$

$\log_416$

$\log_68$

$\log_616$

✅ Correct Option: 3

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CAT 2023 Slot 3

For a real number $x$ , if $\frac{1}{2}, \frac{\log _{3}\left(2^{x}-9\right)}{\log _{3} 4}$ , and $\frac{\log _{5}\left(2^{x}+\frac{17}{2}\right)}{\log _{5} 4}$ are in an arithmetic progression, then the common difference is

CAT 2021 Slot 2

For all possible integers $n$ satisfying $2.25 \leq 2+2^{n+2} \leq 202$ , the number of integer values of $3+3^{n+1}$ is

CAT 2018 Slot 2

$\dfrac{1}{\log _{2} 100}-\dfrac{1}{\log _{4} 100}+\dfrac{1}{\log _{5} 100}-\dfrac{1}{\log _{10} 100}+\dfrac{1}{\log _{20} 100}-\dfrac{1}{\log _{25} 100}+\dfrac{1}{\log _{50} 100}= \ ?$

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